Relative Donaldson-Thomas theory for Calabi-Yau 4-folds

Published 16 Feb 2015 in math.AG and math.DG | (1502.04417v2)

Abstract: Given a complex 4-fold $X$ with an (Calabi-Yau 3-fold) anti-canonical divisor $Y$, we study relative Donaldson-Thomas invariants for this pair, which are elements in the Donaldson-Thomas cohomologies of $Y$. We also discuss gluing formulas which relate relative invariants and $DT_{4}$ invariants for Calabi-Yau 4-folds.

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